﻿255:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Uso de GeoGebra en la resolución de sistemas de ecuaciones:@0.096359:0.152816:0.664215:0.152816:0.664215:0.132843:0.096359:0.132843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a obtener la solución del siguiente sistema de ecuaciones lineales:   :@0.096359:0.175913:0.645184:0.175913:0.645184:0.160243:0.096359:0.160243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de inecuaciones lineales:@0.096359:0.555549:0.411859:0.555549:0.411859:0.535575:0.096359:0.535575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontremos la solución del sistema de inecuaciones lineales: :@0.096359:0.578645:0.552900:0.578645:0.552900:0.562975:0.096359:0.562975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.778687:0.533109:0.845719:0.533109:0.845719:0.524562:0.778687:0.524562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.716951:0.940573:0.783984:0.940573:0.783984:0.932026:0.716951:0.932026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.646260:0.169013:0.653723:0.169013:0.653723:0.152651:0.646260:0.152651:0.000000
 +   = –1:@0.653723:0.169013:0.717519:0.169013:0.717519:0.153343:0.653723:0.153343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.672777:0.169013:0.680259:0.169013:0.680259:0.152651:0.672777:0.152651:0.000000
x:@0.646260:0.183687:0.653723:0.183687:0.653723:0.167325:0.646260:0.167325:0.000000
 – 2  = 3 :@0.653723:0.183687:0.719565:0.183687:0.719565:0.168017:0.653723:0.168017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.680001:0.183687:0.687482:0.183687:0.687482:0.167325:0.680001:0.167325:0.000000
x y:@0.562211:0.574047:0.594441:0.574047:0.594441:0.557686:0.562211:0.557686:0.000000:0.000000:0.000000
 –     –1:@0.569674:0.574047:0.636069:0.574047:0.636069:0.558377:0.569674:0.558377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.598477:0.574628:0.613827:0.574628:0.613827:0.557022:0.598477:0.557022:0.000000
4  – 3    –2:@0.562211:0.588721:0.654055:0.588721:0.654055:0.573051:0.562211:0.573051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.571204:0.588721:0.578667:0.588721:0.578667:0.572360:0.571204:0.572360:0.000000
y:@0.604945:0.588721:0.612427:0.588721:0.612427:0.572360:0.604945:0.572360:0.000000
>:@0.616462:0.589302:0.631812:0.589302:0.631812:0.571696:0.616462:0.571696:0.000000
1. :@0.126275:0.431167:0.144316:0.431167:0.144316:0.414267:0.126275:0.414267:0.000000:0.000000:0.000000
 En la :@0.144316:0.431167:0.184083:0.431167:0.184083:0.415498:0.144316:0.415498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barra de entrada :@0.184083:0.431167:0.304526:0.431167:0.304526:0.414806:0.184083:0.414806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa :@0.145274:0.447764:0.207781:0.447764:0.207781:0.430863:0.145274:0.430863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ecuaciones :@0.207781:0.447764:0.317868:0.447764:0.317868:0.432094:0.207781:0.432094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales una por una.:@0.145274:0.464360:0.296713:0.464360:0.296713:0.448690:0.145274:0.448690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Ingresa:@0.089236:0.863239:0.167185:0.863239:0.167185:0.846338:0.089236:0.846338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las inecuaciones :@0.167185:0.863239:0.295036:0.863239:0.295036:0.847569:0.167185:0.847569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una por una en la :@0.108235:0.879835:0.240969:0.879835:0.240969:0.864166:0.108235:0.864166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barra de :@0.240969:0.879835:0.302683:0.879835:0.302683:0.863474:0.240969:0.863474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entrada:@0.108235:0.896432:0.163647:0.896432:0.163647:0.880070:0.108235:0.880070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.163647:0.896432:0.166853:0.896432:0.166853:0.880762:0.163647:0.880762:0.000000
3.  Observa:@0.095172:0.738219:0.180693:0.738219:0.180693:0.721319:0.095172:0.721319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que la primera :@0.180693:0.738219:0.295239:0.738219:0.295239:0.722550:0.180693:0.722550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación tiene una línea :@0.114171:0.754816:0.311365:0.754816:0.311365:0.739146:0.114171:0.739146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continua y la segunda línea :@0.114171:0.771412:0.319031:0.771412:0.319031:0.755742:0.114171:0.755742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es punteada.:@0.114171:0.788008:0.208334:0.788008:0.208334:0.772339:0.114171:0.772339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  :@0.637713:0.660614:0.659568:0.660614:0.659568:0.643713:0.637713:0.643713:0.000000:0.000000:0.000000:0.000000
La región factible del :@0.656712:0.660614:0.814100:0.660614:0.814100:0.644944:0.656712:0.644944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de inecuaciones :@0.656712:0.677210:0.839956:0.677210:0.839956:0.661540:0.656712:0.661540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la parte sombreada :@0.656712:0.693806:0.822778:0.693806:0.822778:0.678137:0.656712:0.678137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más oscura.:@0.656712:0.710403:0.742769:0.710403:0.742769:0.694733:0.656712:0.694733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Haz:@0.640086:0.801581:0.689122:0.801581:0.689122:0.784680:0.640086:0.784680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 clic en :@0.689122:0.801581:0.744239:0.801581:0.744239:0.785911:0.689122:0.785911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alfa:@0.744239:0.801581:0.771162:0.801581:0.771162:0.785220:0.744239:0.785220:0.000000:0.000000:0.000000:0.000000
 para :@0.771162:0.801581:0.811574:0.801581:0.811574:0.785911:0.771162:0.785911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar el símbolo :@0.659085:0.818177:0.815186:0.818177:0.815186:0.802508:0.659085:0.802508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor que igual:@0.659085:0.834774:0.788595:0.834774:0.788595:0.818412:0.659085:0.818412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.704841:0.834774:0.708877:0.834774:0.708877:0.819104:0.704841:0.819104:0.000000
 o :@0.735265:0.834774:0.753140:0.834774:0.753140:0.819104:0.735265:0.819104:0.000000:0.000000:0.000000
.:@0.788595:0.834774:0.791801:0.834774:0.791801:0.819104:0.788595:0.819104:0.000000
4. :@0.129601:0.354377:0.147641:0.354377:0.147641:0.337476:0.129601:0.337476:0.000000:0.000000:0.000000
 En :@0.147641:0.354377:0.171100:0.354377:0.171100:0.338707:0.147641:0.338707:0.000000:0.000000:0.000000:0.000000
vista algebraica :@0.171100:0.354377:0.284319:0.354377:0.284319:0.338015:0.171100:0.338015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.284319:0.354377:0.348261:0.354377:0.348261:0.337476:0.284319:0.337476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.348261:0.354377:0.352297:0.354377:0.352297:0.338707:0.348261:0.338707:0.000000
las ecuaciones del sistema de :@0.148600:0.370973:0.368198:0.370973:0.368198:0.355303:0.148600:0.355303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas y la solución.:@0.148600:0.387569:0.341943:0.387569:0.341943:0.371900:0.148600:0.371900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Selecciona :@0.654333:0.295214:0.761969:0.295214:0.761969:0.278314:0.654333:0.278314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.668559:0.295214:0.672595:0.295214:0.672595:0.279545:0.668559:0.279545:0.000000
en :@0.761969:0.295214:0.784819:0.295214:0.784819:0.279545:0.761969:0.279545:0.000000:0.000000:0.000000
intersección:@0.784819:0.295214:0.868386:0.295214:0.868386:0.278853:0.784819:0.278853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.868386:0.295214:0.872422:0.295214:0.872422:0.279545:0.868386:0.279545:0.000000
y :@0.673332:0.311811:0.685475:0.311811:0.685475:0.296141:0.673332:0.296141:0.000000:0.000000
haz :@0.685475:0.311811:0.717484:0.311811:0.717484:0.294910:0.685475:0.294910:0.000000:0.000000:0.000000:0.000000
clic en las rectas :@0.717484:0.311811:0.839306:0.311811:0.839306:0.296141:0.717484:0.296141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para obtener la solución :@0.673332:0.328407:0.854953:0.328407:0.854953:0.312737:0.673332:0.312737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sistema.:@0.673332:0.345003:0.759018:0.345003:0.759018:0.329334:0.673332:0.329334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.575504:0.423117:0.593545:0.423117:0.593545:0.406216:0.575504:0.406216:0.000000:0.000000:0.000000
El punto A es la solución :@0.594503:0.423117:0.777414:0.423117:0.777414:0.407447:0.594503:0.407447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al sistema de ecuaciones.:@0.594503:0.439713:0.779292:0.439713:0.779292:0.424044:0.594503:0.424044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.:@0.398852:0.275236:0.413078:0.275236:0.413078:0.258335:0.398852:0.258335:0.000000:0.000000
  Puedes cambiar el color :@0.413078:0.275236:0.596986:0.275236:0.596986:0.259566:0.413078:0.259566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las rectas, haciendo clic :@0.417851:0.291832:0.615817:0.291832:0.615817:0.276162:0.417851:0.276162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecho y seleccionando :@0.417851:0.308429:0.605794:0.308429:0.605794:0.292759:0.417851:0.292759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades.:@0.417851:0.325025:0.513249:0.325025:0.513249:0.309355:0.417851:0.309355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
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